Pith Number

pith:6Q5PCTGI

pith:2017:6Q5PCTGIHXT6ZNPVSNROAR2PKT

not attested not anchored not stored refs pending

The Perron-Frobenius Theorem for Multi-homogeneous Maps

Antoine Gautier, Francesco Tudisco, Matthias Hein

arxiv:1702.03230 v1 · 2017-02-10 · math.SP · math.FA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6Q5PCTGIHXT6ZNPVSNROAR2PKT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:50:58.430545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f43af14cc83de7ecb5f59362e0474f54f752c24852324bba03b013d5168e98bf

Aliases

arxiv: 1702.03230 · arxiv_version: 1702.03230v1 · doi: 10.48550/arxiv.1702.03230 · pith_short_12: 6Q5PCTGIHXT6 · pith_short_16: 6Q5PCTGIHXT6ZNPV · pith_short_8: 6Q5PCTGI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6Q5PCTGIHXT6ZNPVSNROAR2PKT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f43af14cc83de7ecb5f59362e0474f54f752c24852324bba03b013d5168e98bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0810dc56a974414de9248a04f8e0c1f71b9215f25cf25d024a7717b05cb5704",
    "cross_cats_sorted": [
      "math.FA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-02-10T16:07:50Z",
    "title_canon_sha256": "9fdaf9ecde9d5744e385c10a2a801efb88bd5ff99c17b69fdcd679649e5ab556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03230",
    "kind": "arxiv",
    "version": 1
  }
}